2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/176106We study the background cosmology governed by the Tensor-Vector-Scalar theory of gravity proposed by Bekenstein. We consider a broad family of potentials that lead to modified gravity and calculate the evolution of the field variables both numerically and analytically. We find a range of possible behaviors, from scaling to the late time domination of either the additional gravitational degrees of freedom or the background fluid.10 pages, 8 figures, A few typos corrected in the text and figures. Version published in PRDAstrophysicstext